1. What is Natural Frequency?

Natural Frequency is the frequency at which a system tends to oscillate in the absence of any driving force. It represents the inherent vibrational characteristic of a system when disturbed from its equilibrium position.

2. How Does the Calculator Work?

The calculator uses the Natural Frequency formula:

Where:

• \( f_n \) — Natural Frequency (Hz)
• \( f_{in} \) — Input Frequency (Hz)
• \( f_h \) — High Frequency (Hz)

Explanation: The formula calculates the natural frequency by taking the square root of the product of input frequency and high frequency.

3. Importance of Natural Frequency Calculation

Details: Calculating natural frequency is crucial for understanding system dynamics, preventing resonance in mechanical structures, designing vibration control systems, and optimizing performance in various engineering applications.

4. Using the Calculator

Tips: Enter input frequency and high frequency values in hertz (Hz). Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of natural frequency in engineering?
A: Natural frequency helps engineers design structures and systems that avoid resonance, which can cause excessive vibrations and potential failure.

Q2: How does natural frequency differ from forced frequency?
A: Natural frequency is the inherent frequency of a system, while forced frequency is the frequency at which an external force is applied to the system.

Q3: What units are used for frequency measurements?
A: Frequency is typically measured in hertz (Hz), which represents cycles per second.

Q4: Can natural frequency be changed?
A: Yes, natural frequency can be altered by changing the system's mass, stiffness, or damping characteristics.

Q5: What happens when forced frequency matches natural frequency?
A: When forced frequency equals natural frequency, resonance occurs, leading to large amplitude vibrations that can potentially damage the system.